Orbit Fit and Astrometric record for 13VB72

The following information shows the result of the orbit fit based on Gary Bernstein's method. Most of the information should be self-explanatory. Take special note that while the original Bernstein software works with barycentric coordinates, we convert these results into a heliocentric coordinate system.

# Object: 13VB72    
# Created Sat Dec  4 02:12:21 2021
# Orbit generated from Bernstein formalism
# Fitting     19 observations of     19
# Arc:   4.05y
# First observation: 2013/10/04
#  Last observation: 2017/10/22
Preliminary a, adot, b, bdot, g, gdot:
   0.000066   0.026262   0.000082   0.007291   0.024622   0.000000
# Chi-squared of fit:     8.41 DOF:     32 RMS:  0.12
# Min/Max residuals:    -0.38    0.24
# Exact a, adot, b, bdot, g, gdot:
  1.750453E-05  2.698841E-02  5.318263E-06  7.517477E-03  2.518391E-02  7.962428E-03
# Covariance matrix:
  3.3712E-13 -1.5398E-13  3.7457E-15 -1.8266E-14  2.2293E-13 -6.3895E-13
 -1.5398E-13  3.4590E-13 -3.5447E-14  9.1863E-14  8.8439E-14  3.1722E-12
  3.7457E-15 -3.5447E-14  2.0145E-13 -7.4159E-14 -2.4426E-14 -3.7703E-13
 -1.8266E-14  9.1863E-14 -7.4159E-14  6.1752E-14  4.4578E-14  9.5568E-13
  2.2293E-13  8.8439E-14 -2.4426E-14  4.4578E-14  5.6907E-13  1.5215E-12
 -6.3895E-13  3.1722E-12 -3.7703E-13  9.5568E-13  1.5215E-12  3.2981E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
   -9.642420   26.187271    0.265416   -0.161444   -0.950884  2456569.703978
# Heliocentric elements and errors
Epoch:              2456560.5000  =  2013/09/25
Mean Anomaly:           19.04294 +/-     0.010
Argument of Peri:      276.29719 +/-     0.021
Long of Asc Node:       56.53273 +/-     0.001
Inclination:            17.98163 +/-     0.000
Eccentricity:         0.45078136 +/-    0.0002
Semi-Major Axis:     65.28471196 +/-    0.0216
Time of Perihelion: 2446368.7873 +/-       2.3
Perihelion:          35.85558082 +/-    0.0192
Aphelion:            94.71384310 +/-    0.0348
Period (y)              527.5036 +/-      0.26
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           36.11064333 +/-    0.0011
Ecliptic Y           17.46633173 +/-    0.0005
Ecliptic Z           -6.65084147 +/-    0.0002
Ecliptic XDOT        -0.00041233 +/-    0.0000
Ecliptic YDOT         0.00306852 +/-    0.0000
Ecliptic ZDOT         0.00066086 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   40.66060745 +/-    0.0010
Geocenter to KBO     39.70789688 +/-    0.0012
# Hcoef:  7.20

The following table shows the complete astrometric record for 13VB72. The first three columns show the date of observation. The next six columns are RA and DEC. The next column (when provided) is the observed magnitude and filter. The next column is the object name (13VB72) followed by the observatory code and reference code for the source of the astrometry.

2013 10  04.20320  01 51 04.208  +01 06 38.61  23.8g 13VB72    W84  C~55OI      
2013 11  04.07060  01 48 39.93   +00 55 20.0   23.3r 13VB72    W84  C~55OI      
2013 11  04.13358  01 48 39.64   +00 55 18.9         13VB72    W84  C~55OI      
2013 11  04.21602  01 48 39.25   +00 55 17.5         13VB72    W84  C~55OI      
2013 11  23.18047  01 47 17.842  +00 51 07.78  22.1i 13VB72    W84  C~55OI      
2013 12  21.11163  01 45 55.429  +00 50 52.73  23.4i 13VB72    W84  C~55OI      
2014 10  03.33043  01 56 16.636  +02 03 51.71  24.2g 13VB72    W84  C~55OI      
2014 10  21.28323  01 54 54.290  +01 56 50.02  23.2r 13VB72    W84  C~55OI      
2014 10  21.28460  01 54 54.279  +01 56 50.06  22.9i 13VB72    W84  C~55OI      
2015 09  04.32521  02 03 02.997  +03 10 43.25  22.9z 13VB72    W84  C~55OI      
2015 11  02.14253  01 59 03.045  +02 48 45.28  23.6r 13VB72    W84  C~55OI      
2016 09  09.30187  02 07 42.890  +04 03 06.35  24.0g 13VB72    W84  C~55OI      
2016 11  04.21137  02 03 48.877  +03 42 46.27  23.0r 13VB72    W84  C~55OI      
2016 11  18.11107  02 02 46.791  +03 39 09.96  23.2i 13VB72    W84  C~55OI      
2016 11  18.18130  02 02 46.480  +03 39 09.20  23.1z 13VB72    W84  C~55OI      
2017 09  18.30162  02 12 07.221  +04 53 30.92  23.7r 13VB72    W84  C~55OI      
2017 09  18.30299  02 12 07.222  +04 53 30.69  22.9i 13VB72    W84  C~55OI      
2017 09  18.30931  02 12 07.199  +04 53 30.66  24.5g 13VB72    W84  C~55OI      
2017 10  22.22735  02 09 45.368  +04 41 01.88  22.9r 13VB72    W84  C~55OI      

The following table shows the residuals to the orbit fit. The first coumn is the point number. The second column is the time, in years, measured from the first observation. The third and fifth columns are the regularized positions used in the orbit fit. The fourth and sixth columns are the residuals, in arc seconds, for RA and Dec respectively.

     1   0.0000      0.00    -0.12       0.00    -0.12
     2   0.0845  -2263.58     0.05     138.85     0.02
     3   0.0847  -2268.04     0.12     139.38    -0.01
     4   0.0849  -2274.00     0.09     140.16     0.04
     5   0.1368  -3503.86     0.09     343.12    -0.38
     6   0.2133  -4664.17    -0.17     770.86     0.21
     7   0.9969   5602.56    -0.13    1536.39     0.03
     8   1.0461   4298.12     0.04    1582.39     0.02
     9   1.0461   4297.98     0.00    1582.49     0.11
    10   1.9168  12736.10     0.00    3122.30     0.13
    11   2.0779   8896.94    -0.00    3166.98     0.12
    12   2.9325  17798.08    -0.05    4583.45    -0.18
    13   3.0856  14067.80     0.16    4680.84    -0.08
    14   3.1236  13117.90    -0.03    4808.10     0.07
    15   3.1238  13113.26    -0.09    4809.04     0.24
    16   3.9565  22613.89     0.02    6030.54     0.06
    17   3.9565  22613.82     0.03    6030.32    -0.16
    18   3.9565  22613.48     0.05    6030.41    -0.06
    19   4.0493  20340.31    -0.05    6074.67    -0.05

The following table comes from a 10My integration of the orbit of the object. Three columns are shown. The first column is the result of integrating the nominal orbit. The other two columns are based on clones of the nominal orbit that are +/- 3 sigma from the nominal orbit. If all three types agree then the classificiation is deemed secure. The basis for these calculations is described in more detail in AJ, 129, 1117 (2005). Any use made of these calculations should refer to and credit this publication and the Deep Ecliptic Survey Team.

13VB72    quality flag:3

Type:       SCATNEAR  SCATNEAR  SCATNEAR

axisobj        66.027    66.095    65.959
ecceobj         0.457     0.458     0.457
incobj         17.974    17.974    17.974
qmin           35.151    35.216    35.216
qmax           96.645    96.900    96.775
amean          64.957    65.348    65.199
amin           64.101    64.436    64.348
amax           66.235    66.535    66.293
emean           0.441     0.441     0.443
emin            0.425     0.425     0.427
emax            0.459     0.459     0.460
imean          17.707    18.011    17.661
imin           16.842    17.002    16.848
imax           18.506    18.959    18.675
excite_mean     0.536     0.538     0.537
fracstop        1.000     1.000     1.000
cjmean          2.975     2.976     2.975

libcent 0      -180.0    -180.0    -180.0
libamp  0      -180.0    -180.0    -180.0
libcent 1      -180.0    -180.0    -180.0
libamp  1      -180.0    -180.0    -180.0
libcent 2      -180.0    -180.0    -180.0
libamp  2      -180.0    -180.0    -180.0
libcent 3      -180.0    -180.0    -180.0
libamp  3      -180.0    -180.0    -180.0
libcent 4      -180.0    -180.0    -180.0
libamp  4      -180.0    -180.0    -180.0

kozaimean       173.6     164.6     172.6
kozaiamp        180.0     180.0     180.0